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Jets, frames, and their Cartan geometry
Jets frames, that is a generalisation of ordinary frames on a manifold, are described in a language similar to that of gauge theory. This is achieved by constructing... -
How to deal with point correspondences and tangential velocities in the level...
In this report, we overcome a major drawback of the level set framework: the lack of point correspondences. We maintain explicit backward correspondences from the... -
A novel family of geometrical transformations: Polyrigid transformations. App...
We present in this report a novel kind of geometrical transformations, which we have named polyrigid. Within their framework, it is possible to define local rigid... -
$p$-chaoticity and regular action of abelian $C^{1}$-diffeomorphisms groups o...
In this paper, we introduce the notion of regular action of any abelian subgroup G of $Diff^{1}(C^n) on C^n (i.e. the closure of every orbit of G in some open set is a... -
Sparse Adaptive Parameterization of Variability in Image Ensembles
International audience -
On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, ...
In this paper, we study the action on C^n of any group G of holomorphic diffeomorphisms (automorphisms) of C^n fixing 0. Suppose that there is x in C^n, having an... -
The almost Borel structure of diffeomorphisms with some hyperbolicity
Minicourse from the semester "Hyperbolicity, large deviations and fluctuations" (D. Dolgopyat, Y. Pesin, M. Pollicott and L. Stoyanov, Ecole polytechnique federale de Lausanne,...
